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首页> 外文期刊>IEEE Transactions on Automatic Control >Filter structures composed of all-pass and FIR filters for interpolation and decimation by a factor of two
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Filter structures composed of all-pass and FIR filters for interpolation and decimation by a factor of two

机译：滤波器结构由全通滤波器和 FIR 滤波器组成，用于插值和抽取两倍

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摘要

This paper introduces filter structures for interpolation and decimation by a factor of two. The structures are derived by using the frequency-response masking approach, in which the overall filter makes use of a periodic model filter, itscomplementary filter, and two masking filters. The periodic model filters are obtained by replacing each delay element in a model filter with M delay elements in cascade. The model filter is a half-band infinite-impulse response (IIR) filter composed oftwo all-pass filter in parallel, whereas the masking filters are linear-phase finite-impulse response (FIR) filters. In the final interpolator and decimator structures, the filtering takes place at the lowest of the two sampling rates involved. Thecorresponding overall filter can he designed by separately optimizing a half-band IIR filter and a linear-phase FIR filter. Both nonlinear-phase and approximately linear-phase filters are considered. One advantage of the proposed filter structures overconventional half-band IIR filter structures is that their maximal sample frequency is Al times higher, which may be utilized to increase the speed in an implementation and/or to reduce the power consumption via power supply voltage scaling techniques. In the case of approximately linear-phase filters, the computational complexity can be reduced as well. Several design examples are included demonstrating the properties and advantages of the proposed filter structures.
机译：本文介绍了插值和抽取的滤波结构，按两倍进行插值和抽取。这些结构是通过使用频率响应掩蔽方法推导的，其中整体滤波器使用周期模型滤波器、互补滤波器和两个掩蔽滤波器。周期模型滤波器是通过将模型滤波器中的每个延迟元件替换为级联中的 M 个延迟元件来获得的。模型滤波器是由两个并联的全通滤波器组成的半带无限脉冲响应（IIR）滤波器，而掩蔽滤波器是线性相位有限脉冲响应（FIR）滤波器。在最终的插值器和抽取器结构中，滤波在所涉及的两个采样率中的最低值进行。通过分别优化半带IIR滤波器和线性相位FIR滤波器，可以设计相应的整体滤波器。考虑了非线性相位和近似线性相位滤波器。与传统的半带IIR滤波器结构相比，所提出的滤波器结构的一个优点是它们的最大采样频率高出Al倍，这可用于提高实现速度和/或通过电源电压调节技术降低功耗。对于近似线性相位滤波器，计算复杂度也可以降低。包括几个设计实例，展示了所提出的滤波器结构的特性和优势。

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